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REPORT: Are Kim and Kanye tying the knot this week?

(TMZ) - TMZ is reporting that Kim Kardashian and Kanye West are doing something that seems to go against their DNA ... getting married PRIVATELY and without fanfare, and according to TMZ, it's going to happen this week.

Sources connected with the couple tell TMZ ... they already have a marriage license and plan to tie the knot before the week is out.

TMZ reports it's strictly on the QT ... so much so they got a "confidential" marriage license so no one officially knows.

Sources tell TMZ ... with a confidential license, K&K won't have to appear publicly at a courthouse to get married ... instead, an official from the court will actually go to them and perform the ceremony privately in their home.

And then, in about a month -- after they're already legally married in California -- we've learned Kim and Kanye will hold a lavish, blow-out wedding ceremony in Paris, according to TMZ.